GoDaddy calls the redirecting thing "Forwarding", and it's included in the price of registering a domain name with them.
Well, it is on my domains that I registered with them 2 years ago. I assume it's still the same.
I've had no problems with GoDaddy. I find their web site a little obnoxious, but it's pretty easy to use to make changes to your domain name and stuff after registering. 🙂